Leo Sario and Cecilia Wang

Abstract

Our main interest in this
paper is with the (p,q)-biharmonic boundary value problem, which takes the
following form: Given continuous functions ϕ and Ψ on Wiener’s or Royden’s p-and
q-harmonic boundaries α and β respectively, find a function u satisfying
(Δ + q)(Δ + p)u = 0 and

We shall solve this problem by what we call the (p,q)-biharmonic
projection.